Greatest Common Factor of 10112 and 10116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 10112, 10116 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10112 and 10116 is 4.

GCF(10112,10116) = 4

GCF of 10112 and 10116

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 10112 and 10116

GCF of 10112 and 10116 is 4

Prime Factorization of 10112


2 10112
2 5056
2 2528
2 1264
2 632
2 316
2 158
79 79
1

Prime factors of 10112 are 2,79. Prime factorization of 10112 in exponential form is:

10112 = 27×791

Prime Factorization of 10116


2 10116
2 5058
3 2529
3 843
281 281
1

Prime factors of 10116 are 2,3,281. Prime factorization of 10116 in exponential form is:

10116 = 22×32×2811

∴ So by taking common prime factors GCF of 10112 and 10116 is 4

Greatest Common Factor of 10112 and 10116 by matching factors method

Factors of 10112

List of positive integer factors of 10112 that divides 10112 without a remainder.

1,2,4,8,16,32,64,79,128,158,316,632,1264,2528,5056,10112

Factors of 10116

List of positive integer factors of 10116 that divides 10116 without a remainder.

1,2,3,4,6,9,12,18,36,281,562,843,1124,1686,2529,3372,5058,10116

Greatest Common Factor

We found the factors and prime factorization of 10112 and 10116. The biggest common factor number is the GCF number.
So the greatest common factor 10112 and 10116 is 4.

Also check out the Least Common Multiple of 10112 and 10116

Properties of GCF 10112 and 10116

(i) The GCF of 10112 and 10116 is associative

GCF of 10112 and 10116 = GCF of 10116 and 10112

Related Greatest Common Factor of 10112

Related Greatest Common Factor of 10116

Frequently Asked Questions on GCF of 10112 and 10116

1. What is the GCF of 10112 and 10116?

Answer: GCF of 10112 and 10116 is 4.

2. What are the Factors of 10112?

Answer: Factors of 10112 are 1, 2, 4, 8, 16, 32, 64, 79, 128, 158, 316, 632, 1264, 2528, 5056, 10112. There are 16 integers that are factors of 10112. The greatest factor of 10112 is 10112.

3. What are the Factors of 10116?

Answer: Factors of 10116 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 281, 562, 843, 1124, 1686, 2529, 3372, 5058, 10116. There are 18 integers that are factors of 10116. The greatest factor of 10116 is 10116.

4. How to Find the GCF of 10112 and 10116?

Answer:

Greatest Common Factor of 10112 and 10116 = 4

Step 1: Find the prime factorization of 10112

10112 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 79

Step 2: Find the prime factorization of 10116

10116 = 2 x 2 x 3 x 3 x 281

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 10112 and 10116 is 4